5.1.8 WP Determine the value of c that makes the function f(x, y) = c(x+ y) a joint probability density function over the range 0 1) с. Р(Y > 1)

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5.1.8 WP Determine the value of c that makes the function
f(x, y) = c(x+ y) a joint probability density function over the
range 0 <x < 3 and x < y <x + 2. Determine the following:
с. Р(Y > 1)
f. V(X)
а. Р(Х < 1, Y < 2) Ь. Р(1 <Х < 2)
d. P(X < 2, Y < 2)
g. Marginal probability distribution of X
е. Е(X)
Transcribed Image Text:5.1.8 WP Determine the value of c that makes the function f(x, y) = c(x+ y) a joint probability density function over the range 0 <x < 3 and x < y <x + 2. Determine the following: с. Р(Y > 1) f. V(X) а. Р(Х < 1, Y < 2) Ь. Р(1 <Х < 2) d. P(X < 2, Y < 2) g. Marginal probability distribution of X е. Е(X)
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